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Finding the Fourth Proportional to 164,840.88, 227,480.42 and 89,389.44

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Solution

The fourth proportional to 164,840.88, 227,480.42 and 89,389.44 is: 123,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,840.88 : 227,480.42 = 89,389.44 : x
  2. Step 2: Convert to fraction form
    164,840.88/227,480.42 = 89,389.44/x
  3. Step 3: Cross multiply
    164,840.88x = 227,480.42 × 89,389.44
  4. Step 4: Simplify right side
    164,840.88x = 20,334,347,354.76
  5. Step 5: Solve for x
    x = 20,334,347,354.76/164,840.88
  6. Step 6: Final answer
    x = 123,357.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.